The graph that shows the input value for which f(x) = g(x) is represented by graph located at the center of image. (Please see the image attached below)
How to find the graph associated with a system of equations
In this problem we find the case of a system of linear equations, consisting in two lines: a horizontal line whose set consists of points of the form (x, - 1) and an oblique line with negative slope and intercept - 2.
Then, by direct inspection, the system of equations is described well in the graph of the center. The result is also in the image attached below.